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Finding the Third Proportional to 140,865.75 and 305,616.38

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Solution

The third proportional to 140,865.75 and 305,616.38 is: 663,052.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,865.75 : 305,616.38 = 305,616.38 : x
  2. Step 2: Convert to fraction form
    140,865.75/305,616.38 = 305,616.38/x
  3. Step 3: Cross multiply
    140,865.75x = 305,616.38 × 305,616.38
  4. Step 4: Simplify right side
    140,865.75x = 93,401,368,668.14
  5. Step 5: Solve for x
    x = 93,401,368,668.14/140,865.75
  6. Step 6: Final answer
    x = 663,052.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.